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Finding the Fourth Proportional to 103,558.40, 155,337.96 and 31,512

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Solution

The fourth proportional to 103,558.40, 155,337.96 and 31,512 is: 47,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,558.40 : 155,337.96 = 31,512 : x
  2. Step 2: Convert to fraction form
    103,558.40/155,337.96 = 31,512/x
  3. Step 3: Cross multiply
    103,558.40x = 155,337.96 × 31,512
  4. Step 4: Simplify right side
    103,558.40x = 4,895,009,795.52
  5. Step 5: Solve for x
    x = 4,895,009,795.52/103,558.40
  6. Step 6: Final answer
    x = 47,268.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.